Finding the Third Proportional to 31,509 and 48,782.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,509 : 48,782.25 = 48,782.25 : x
2. Step 2: Convert to fraction form
   31,509/48,782.25 = 48,782.25/x
3. Step 3: Cross multiply
   31,509x = 48,782.25 × 48,782.25
4. Step 4: Simplify right side
   31,509x = 2,379,707,915.06
5. Step 5: Solve for x
   x = 2,379,707,915.06/31,509
6. Step 6: Final answer
   x = 75,524.70